What is the Least Common Multiple of 72177 and 72191?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 72177 and 72191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72177 and 72191, than apply into the LCM equation.

GCF(72177,72191) = 7
LCM(72177,72191) = ( 72177 × 72191) / 7
LCM(72177,72191) = 5210529807 / 7
LCM(72177,72191) = 744361401

Least Common Multiple (LCM) of 72177 and 72191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72177 and 72191. First we will calculate the prime factors of 72177 and 72191.

Prime Factorization of 72177

Prime Factorization of 72191

Now multiplying the highest exponent prime factors to calculate the LCM of 72177 and 72191.

LCM(72177,72191) = 3¹ × 7² × 491¹ × 10313¹
LCM(72177,72191) = 744361401